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Simplifying 3(x + 7) + 2(x + -4) = 38 Reorder the terms: 3(7 + x) + 2(x + -4) = 38 (7 * 3 + x * 3) + 2(x + -4) = 38 (21 + 3x) + 2(x + -4) = 38 Reorder the terms: 21 + 3x + 2(-4 + x) = 38 21 + 3x + (-4 * 2 + x * 2) = 38 21 + 3x + (-8 + 2x) = 38 Reorder the terms: 21 + -8 + 3x + 2x = 38 Combine like terms: 21 + -8 = 13 13 + 3x + 2x = 38 Combine like terms: 3x + 2x = 5x 13 + 5x = 38 Solving 13 + 5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 38 + -13 5x = 38 + -13 Combine like terms: 38 + -13 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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